Generalized Hypercenter Of A Finite Group,
2014
TÜBİTAK
Generalized Hypercenter Of A Finite Group, Mohamed Ezzat Mohamed, Mohammed Mosa Alshomrani
Turkish Journal of Mathematics
Let G be a finite group. In this paper, we introduce the concept of super generalized supersolvably embedded subgroup of a group G and give a new characterization of the generalized hypercenter of G.
Oscillation Of Second Order Differential Equations With Mixed Nonlinearities,
2014
TÜBİTAK
Oscillation Of Second Order Differential Equations With Mixed Nonlinearities, Zhiting Xu, Aijun Cheng
Turkish Journal of Mathematics
By refining the standard integral averaging technique, in this paper, new oscillation criteria as well as interval oscillation criteria are established for the second order delay differential equation with mixed nonlinearities \begin{equation*} (r(t) x^{\prime}(t) ^{\alpha-1}x^{\prime}(t))^{\prime}+q_0(t) x(\tau_0(t)) ^{\alpha-1}x(\tau_0(t)) +\sum\limits_{i = 1}^nq_i(t) x(\tau_i(t)) ^{\alpha_i-1}x(\tau_i(t)) = 0, \end{equation*} where \alpha>0, \alpha_i>0, i = 1,2,\cdots,n. Our results generalize and improve the known results in the literature. Examples are also given to illustrate the importance of our results.
Existence, Global Nonexistence, And Asymptotic Behavior Of Solutions For The Cauchy Problem Of A Multidimensional Generalized Damped Boussinesq-Type Equation, Erhan Pi̇şki̇n, Necat Polat
Turkish Journal of Mathematics
We consider the existence, both locally and globally in time, the global nonexistence, and the asymptotic behavior of solutions for the Cauchy problem of a multidimensional generalized Boussinesq-type equation with a damping term.
Relaxed Elastic Line In A Riemannian Manifold,
2014
TÜBİTAK
Relaxed Elastic Line In A Riemannian Manifold, Gözde Özkan, Ahmet Yücesan
Turkish Journal of Mathematics
We obtain a differential equation with 2 boundary conditions for a relaxed elastic line in a Riemannian manifold. This differential equation, which is found with respect to constant sectional curvature G, geodesic curvature \kappa, and 2 boundary conditions, gives a more direct and more geometric approach to questions concerning a relaxed elastic line in a Riemannian manifold. We give various theorems and results in terms of a relaxed elastic line. Consequently, we examine the concept of a relaxed elastic line in 2- and 3- dimensional space forms.
On Joachimsthal's Theorems In Riemann--Otsuki Space R-O_3,
2014
TÜBİTAK
On Joachimsthal's Theorems In Riemann--Otsuki Space R-O_3, Münevver Yildirim Yilmaz, Mehmet Bektaş
Turkish Journal of Mathematics
In this paper we study the Joachimsthal theorem in Riemann--Otsuki space
Half-Lightlike Submanifolds With Planar Normal Sections In R_2^4,
2014
TÜBİTAK
Half-Lightlike Submanifolds With Planar Normal Sections In R_2^4, Feyza Esra Erdoğan, Rifat Güneş, Bayram Şahi̇n
Turkish Journal of Mathematics
We investigate half-lightlike submanifolds with planar normal sections of 4-dimensional pseudo-Euclidean space. We obtain necessary and sufficient conditions for a half-lightlike submanifold of R_2^4 such that it has degenerate or nondegenerate planar normal sections.
Almost Contact Metric Submersions And Symplectic Manifolds,
2014
TÜBİTAK
Almost Contact Metric Submersions And Symplectic Manifolds, Augustin Batubenge, Tshikunguila Tshikuna-Matamba
Turkish Journal of Mathematics
In this paper, we discuss some geometric properties of almost contact metric submersions involving symplectic manifolds. We show that this is obtained if the total space is an b-almost Kenmotsu manifold.
Covers And Preenvelopes By V-Gorenstein Flat Modules,
2014
TÜBİTAK
Covers And Preenvelopes By V-Gorenstein Flat Modules, Xiaoyan Yang
Turkish Journal of Mathematics
In this paper, we introduce and study V-Gorenstein flat modules and show the stability of the category of V-Gorenstein flat modules. We investigate the existence of V-Gorenstein flat covers and V-Gorenstein flat preenvelopes for any left R-module. Also we prove that (V-GF,V-GF^\bot) is a perfect hereditary cotorsion pair in B^l(R), where V-GF stands the class of V-Gorenstein flat left R-modules and B^l(R) is the left Bass class. Some applications are given.
On The K-Ring Of The Classifying Space Of The Generalized Quaternion Group,
2014
TÜBİTAK
On The K-Ring Of The Classifying Space Of The Generalized Quaternion Group, Mehmet Kirdar, Sevi̇lay Özdemi̇r
Turkish Journal of Mathematics
We describe the K-ring of the classifying space of the generalized quaternion group in terms of generators and the minimal set of relations. We also compute the order of the main generator in the truncated rings.
Generalized Higher Commutators Generated By The Multilinear Fractional Integrals And Lipschitz Functions,
2014
TÜBİTAK
Generalized Higher Commutators Generated By The Multilinear Fractional Integrals And Lipschitz Functions, Huixia Mo, Dongyan Yu, Huiping Zhou
Turkish Journal of Mathematics
Let l \in N and \vec{A}=(A_1,\dots,A_l) and \vec{f}=(f_1,\dots,f_l) be 2 finite collections of functions, where every function A_i has derivatives of order m_i and f_1,\dots,f_l\in L_c^{\infty}(R^n). Let x\notin\cap_{i=1}^lSupp f_i. The generalized higher commutator generated by the multilinear fractional integral is then given by I_{\alpha,m}^{\vec{A}}(\vec{f})(x) =\dint_{(R^n)^m} \frac{\prod\limits_{i=1}^lR_{m_i+1}(A_i;x,y_i)f_{i}(y_i)}{ (x-y_1,\dots ,x-y_m) ^{ln+(m_1+m_2+\dots+m_l)-\alpha}} dy_1\dots dy_l. When D^{\gamma}A_i\in \dot{\Lambda}_{\beta_i}(0
The Property Of Real Hypersurfaces In 2-Dimensional Complex Space Form With Ricci Operator,
2014
TÜBİTAK
The Property Of Real Hypersurfaces In 2-Dimensional Complex Space Form With Ricci Operator, Dong Ho Lim, Woon Ha Sohn, Seong Soo Ahn
Turkish Journal of Mathematics
Let M be a real hypersurface in a complex space form M_2(c), c \neq 0. In this paper, we prove that S \phi=\phi S on M if and only if M is pseudo-Einstein.
An Alternative Approach To The Adem Relations In The Mod 2 Steenrod Algebra,
2014
TÜBİTAK
An Alternative Approach To The Adem Relations In The Mod 2 Steenrod Algebra, Neşet Deni̇z Turgay
Turkish Journal of Mathematics
The Leibniz--Hopf algebra F is the free associative algebra over Z on one generator S^n in each degree n>0, with coproduct given by \Delta(S^n) = \sum_{i+j=n} S^i \otimes S^j. We introduce a new perspective on the Adem relations in the mod 2 Steenrod algebra A_2 by studying the map \pi^\ast dual to the Hopf algebra epimorphism \pi: F \otimes Z/2 \to A_2. We also express Milnor's Hopf algebra conjugation formula in A_2^\ast in a different form and give a new approach for the conjugation invariant problem in A_2^\ast.
Population Dynamical Behaviors Of Stochastic Logistic System With Jumps,
2014
TÜBİTAK
Population Dynamical Behaviors Of Stochastic Logistic System With Jumps, Ruihua Wu, Ke Wang
Turkish Journal of Mathematics
This paper is concerned with a stochastic logistic model driven by martingales with jumps. In the model, generalized noise and jump noise are taken into account. This model is new and more feasible. The explicit global positive solution of the system is presented, and then sufficient conditions for extinction and persistence are established. The critical value of extinction, nonpersistence in the mean, and weak persistence in the mean are obtained. The path-wise and moment properties are also investigated. Finally, some simulation figures are introduced to illustrate the main results.
On A Generalization Of Kelly's Combinatorial Lemma,
2014
TÜBİTAK
On A Generalization Of Kelly's Combinatorial Lemma, Aymen Ben Amira, Jamel Dammak, Hamza Si Kaddour
Turkish Journal of Mathematics
Kelly's combinatorial lemma is a basic tool in the study of Ulam's reconstruction conjecture. A generalization in terms of a family of t -elements subsets of a v -element set was given by Pouzet. We consider a version of this generalization modulo a prime p. We give illustrations to graphs and tournaments.
Frobenius-Like Groups As Groups Of Automorphisms,
2014
TÜBİTAK
Frobenius-Like Groups As Groups Of Automorphisms, Güli̇n Ercan, İsmai̇l Şuayi̇p Güloğlu, Evgeny Khukhro
Turkish Journal of Mathematics
A finite group FH is said to be Frobenius-like if it has a nontrivial nilpotent normal subgroup F with a nontrivial complement H such that FH/[F,F] is a Frobenius group with Frobenius kernel F/[F,F]. Such subgroups and sections are abundant in any nonnilpotent finite group. We discuss several recent results about the properties of a finite group G admitting a Frobenius-like group of automorphisms FH aiming at restrictions on G in terms of C_G(H) and focusing mainly on bounds for the Fitting height and related parameters. Earlier such results were obtained for Frobenius groups of automorphisms; new theorems for Frobenius-like …
Hilbert Series Of The Braid Monoid Mb_4 In Band Generators,
2014
TÜBİTAK
Hilbert Series Of The Braid Monoid Mb_4 In Band Generators, Zaffar Iqbal, Shamaila Yousaf
Turkish Journal of Mathematics
L. A. Bokut gave a Gröbner--Shirshov basis of the braid group B_n in band generators. Using this presentation and solving all the ambiguities we construct a linear system for irreducible words and compute the Hilbert series of the braid monoid MB_4.
Gradient Estimates For The Porous Medium Type Equation On Smooth Metric Measure Space,
2014
TÜBİTAK
Gradient Estimates For The Porous Medium Type Equation On Smooth Metric Measure Space, Deng Yihua
Turkish Journal of Mathematics
The porous medium equation arises in different applications to model diffusive phenomena. In this paper, we obtain several gradient estimates for some porous medium type equations on smooth metric measure space with N-Bakry-Emery Ricci tensor bounded from below. In particular, we improve and generalize some current gradient estimates for the porous medium equations.
Disjoint Supercyclic Powers Of Weighted Shifts On Weighted Sequence Spaces,
2014
TÜBİTAK
Disjoint Supercyclic Powers Of Weighted Shifts On Weighted Sequence Spaces, Yu-Xia Liang, Ze-Hua Zhou
Turkish Journal of Mathematics
We characterize the disjoint supercyclicity of finitely many different powers of weighted shifts acting on the weighted sequence spaces l^2(N,w), c_0(N,w) , and l^2(Z,w), c_0(Z,w), where w=(w_i)_i is a positive weight sequence satisfying w_i \geq 1 for every i\in N (or i\in Z).
Some New Associated Curves Of A Frenet Curve In E^3 And E^4,
2014
TÜBİTAK
Some New Associated Curves Of A Frenet Curve In E^3 And E^4, Nesi̇be Maci̇t, Mustafa Düldül
Turkish Journal of Mathematics
In this paper, firstly, we define a W -direction curve and W -rectifying curve of a Frenet curve in 3-dimensional Euclidean space E^3 by using the unit Darboux vector field W of the Frenet curve and give some characterizations together with the relationships between the curvatures of each associated curve. We also introduce a V -direction curve, which is associated with a curve lying on an oriented surface in E^3. Later, some new associated curves of a Frenet curve are defined in E^4.
Notes On The Tangent Bundle With Deformed Complete Lift Metric,
2014
TÜBİTAK
Notes On The Tangent Bundle With Deformed Complete Lift Metric, Aydin Gezer, Mustafa Özkan
Turkish Journal of Mathematics
In this paper, our aim is to study some properties of the tangent bundle with a deformed complete lift metric.
